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Finding the Fourth Proportional to 51,209.74, 70,629.38 and 33,310.46

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Solution

The fourth proportional to 51,209.74, 70,629.38 and 33,310.46 is: 45,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,209.74 : 70,629.38 = 33,310.46 : x
  2. Step 2: Convert to fraction form
    51,209.74/70,629.38 = 33,310.46/x
  3. Step 3: Cross multiply
    51,209.74x = 70,629.38 × 33,310.46
  4. Step 4: Simplify right side
    51,209.74x = 2,352,697,137.31
  5. Step 5: Solve for x
    x = 2,352,697,137.31/51,209.74
  6. Step 6: Final answer
    x = 45,942.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.